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Finding the Fourth Proportional to 32,695.68, 49,065.60 and 11,921.28

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Solution

The fourth proportional to 32,695.68, 49,065.60 and 11,921.28 is: 17,889.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,695.68 : 49,065.60 = 11,921.28 : x
  2. Step 2: Convert to fraction form
    32,695.68/49,065.60 = 11,921.28/x
  3. Step 3: Cross multiply
    32,695.68x = 49,065.60 × 11,921.28
  4. Step 4: Simplify right side
    32,695.68x = 584,924,755.97
  5. Step 5: Solve for x
    x = 584,924,755.97/32,695.68
  6. Step 6: Final answer
    x = 17,889.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.